This is not surprising. I had to get my head around the 'terminology' and was called a TERF before I knew what it stood for, ditto cis.
Having accepted that a 'transwoman' in the 'gender identity ideology terminology' refers to someone born a man and that a 'transman' is someone born a woman, I know find myself hesitating over the real meaning of 'transgender man/woman'.
It seems people are now using transgender man/woman a lot now and it is totally unclear to me which biology it refers to.
No wonder most people are confused especially when coupled with preferred pronouns.